Abstract
Second-order perturbation theory is used to study the non-linear gravitational evolution of the mass distribution on scales of several tens of Mpc in the standard CDM cosmogony. The results show that non-linear evolution can move the first zero-crossing of the matter correlation function outwards if a high normalization is used, but that the change is very small with a more standard ‘biased’ CDM normalization. If rich clusters occur at the peaks of the primordial perturbation field, then these non-linear dynamical effects are still negligible compared to the statistical clustering and the increase in zero-crossing scale of ξCDM cannot be expected to alleviate the large-scale structure problem for CDM to any appreciable extent.

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